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zakruti.com » Knowledge, science, education » TED-Ed
Can you solve the stolen rubies riddle? - Dennis Shasha

Can you solve the stolen rubies riddle? - Dennis Shasha

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Rating: 4.0; Vote: 1
Townspeople are demanding that a corrupt merchants collection of 30 rubies be confiscated to reimburse the victims of his schemes. The king announces that the fine will be determined through a game of wits between the merchant and the kings most clever advisor you. Can you outfox the merchant and win back the greatest amount of rubies to help his victims? Dennis Shasha shows how. Lesson by Dennis Shasha, directed by Artrake Studio
Date: 2020-08-22

Comments and reviews: 10


If the merchant know the rules ahead of time, then he would have come up with the same conclusion. Now he knows that I need to write 8 to each card he will take 2 of the rubies from an 8 rubies box and add them to the other boxes separately. Now the boxes are 15, 9, 6 and, 8, 8, 8 would only get 16 rubies. I cannot change my 8, 8, 8 for 6, 6, 6 or 9, 9, 9, which both add up to 18 at most, because I want 24 of them. He also has 16, 10, 4 and 17, 11, 2 options. If the trader decides to use 17, 11, 2 strategy, he would have lost 22 rubies instead of 24 even if the king cheated and had a peek and saw one of the boxes inside. So the trader is not maximizing his chances of keeping as many rubies as possible.
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I don't get the answer: what if the rubies are 4 - 10 - 16? If you pick 8 for each, the scoundrel keeps 4 + 2 + 8 = 14 so almost half of them. The clue states that one box has six more than one of the others, it doesn't say anything about two boxes having the same amount of rubies. Saying that one box must have 6 rubies or more than another doesn't mean that one box can't have less than 6 rubies.
Am I missing or misinterpreting something here?

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He bought some rubies with legally gotten money ok but he is also a criminal just say the 'legal rubies' are going to his fine/bail/whatever.
Also like. The king is presiding as judge. just tell him he's lucky he's not getting executed and take the rubies anyways. You're a literal king and the people are on your side this time

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Guess: merchant will try to equalize the number of rubies in each box, making 8, 8, 14. Number you should guess: 8, so total you get 24. Not bad.
2nd guess: merchant will try to gamble and place as much as possible into 1 box. He does 2, 8, 20. You should guess 20 for all 3 and get 20 back.
Let's see if I was right.

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Almost got it. I guessed the minimum gems you can get which is 16 and not what number to use. But damn, 16? If I was a scoundrel, I would be okay with it. I still get 14 all for myself while the rest have to share 16 gems.
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This was easy tbh. Minimum 2 in each box = 6/24 already in the boxes. One of the boxes has to have at least 8, meaning that the last box would (could) have 20. In this case, guess 8, 8, 8 and youll recover 16.
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Would best strategy be to just write '8' on all cards? Then you're guaranteed to get 24.
Trade off is you're also guaranteed to not get all 30, but you'll get more than that scenario's minimum of 16.

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Wait- if there are 8, 14, 8 and you put 8 on each card you'd get 24, not 16. The worst case scenario is 3, 9, 18 where you'd put 9 on each card to guarantee 18. (also the 9, 15, 6 scenario)
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A bit confused. If you write 8 on all the cards then surely you get 24 gems? Not 16 because you get 16 from the outer two boxes and the another 8 from the middle box.
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Everyone: talking about being the most cleverest in the kingdom like it's a curse
Me: OMG LOOK AT THAT KNIGHT WITH THE ROUND HEAD AHAHAHAHA HE'S ADORABLE

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